A company's revenue for selling x (thousand) items is given by R(x) = 624r-r? X + x2 + 624 Find the value of x that maximizes the revenue and find the maximum revenue. x= , maximum revenue is s

The four students; Michal, Hypatia, clodoveo and Jamal's attempt to explain the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is incorrect

This means to make simpler, either by reducing in complexity, reducing to component parts, or making easier to understand.

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

Using PEMDAS

Correct workings:

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

3 - 5 × (1 × 2)² - 1 + 2(-1)³

= 3 - 5 × (2)² - 1 + 2(-1)

= 3 - 5 × (4) - 1 - 2

= 3 - 20 - 3

= - 20

In conclusion, the correct simplification of the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is -20

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The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Answer: 7.25

Step-by-step explanation: so you draw a graph, and first find the point (-4,1). Then, you can draw a line with a ruler with a slope of 1/2, so the point after (-4,1) would be 2 units to the right, and then one unit up (because the slope is 1/2). After you draw the line, find the point with 8 as the x, and then find the y, which would be 7.25 (I think)

Step-by-step explanation:

You already know what the hour is so you just need to find the minute. Every number is at a 5 tick interval. So you can count by 5 or multiply 5x5.

Answer:

4:25

Step-by-step explanation:

Every number on the clock is 5 minutes. 5 * 5 = 25.

Answer:

1/5

Step-by-step explanation:

it appears as those two distinct points on the graph are (-3,1) and (2,2)

so take the difference of the y-values and put it over the difference of the x-values to get a fraction to represent the slope

2-1 / 2-(-3) = 1/5

if you start from the point (-3,1) you must rise by one unit and then run five units to the right to get to (2,2)

Answer: quizlet has all the answers

Step-by-step explanation:

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

The number of hours that it takes for the company to break even is given as follows:

0 hours.

The profit function is obtained subtracting the revenue function by the cost function, hence:

P(h) = R(h) - C(h).

P(h) = 220h - 160 - 20h² + 400.

P(h) = -20h² + 220h + 240.

The break even point is the value of h for which P(h) = 0, hence:

-20h² + 220h + 240 = 0.

The coefficients of the quadratic function is given as follows:

a = -20, b = 220, c = 240.

Using a quadratic equation calculator, the smallest root is given as follows:

h = -1.

As the number of hours cannot be negative, we consider that the company breaks even initially, hence the number of hours is of zero.

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The population of their school of fish was reduced by a percentage of 20%.

Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".

First, determine how much was reduced in the number of fish by subtracting 360 fishes from 450 fishes.

decrease in number of fishes = 450 - 360

decrease in number of fishes = 90

Then, determine the percent that is reduced by dividing the decrease in number of fishes by the initial number of fishes and multiply by 100.

percent decrease = (90 / 450) x 100

percent decrease = 0.2 x 100

percent decrease = 20%

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Answer:

the answer -69

Step-by-step explanation:

3 times 3 is 9

9 - 78 is - 69

Answer:

The answer should be -69

Step-by-step explanation:

With this equation you would use PEMDAS, so you would multiply before you subtract. 3 x 3 = 9 9 - 78 would be -69

The digit in the blank space in the ones place is 5 as it is the last digit that has not been used yet.The final number we get is 4782. Hence, 4 x 2 7 8 = 9 5 2 2. This makes the given equation true. Therefore, the solution is 4 x 27.8 = 952.2.

The equation 4 x 2 _. 8 = 9 _. 2 true, we need to fill in the blanks with the digits from 0-9, using each digit only once.Solution:To make the equation 4 x 2 _. 8 = 9 _. 2 true, we need to fill in the blanks with the digits from 0-9, using each digit only once.Therefore, the solution is:4 x 2 7 8 = 9 5 2 2.The multiplication of 4 and 2 will give 8. The digit 7 in the tens place will give the result of the multiplication of 2 and 7 which is 14, so 4 will be carried over to the hundreds place. Therefore, the number in the blank space in the tens place is 7.To get the digit in the thousands place, we will do multiplication of 4 and 2 which gives 8. Adding the carry from the hundreds place, we have 9 in the thousands place, therefore the digit in the blank space in the thousands place is 9.The digit in the blank space in the ones place is 5 as it is the last digit that has not been used yet.The final number we get is 4782. Hence, 4 x 2 7 8 = 9 5 2 2. This makes the given equation true. Therefore, the solution is 4 x 27.8 = 952.2.

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The student's temperature of 99.5°F should be considered unusual. We can calculate it in the following manner.

To find the z-score, we use the formula:

z = (x - μ) / σ

where x is the temperature, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

z = (99.5 - 98.2) / 0.62

z = 2.10

This means the student's temperature is 2.10 standard deviations above the mean.

To assess whether this temperature is unusual, we can compare the z-score to a standard normal distribution table or use the empirical rule.

According to the empirical rule, about 95% of the data falls within 2 standard deviations of the mean. Since the student's temperature is more than 2 standard deviations above the mean, it falls in the tail of the distribution, which is considered unusual.

Therefore, the student's temperature of 99.5°F should be considered unusual.

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The probability that a fixed graph G' with vertex set V' and edge set E' is a subgraph of a simple random graph G with vertex set V and edge set E can be calculated using the probability parameter p.

To determine the probability that G' is a subgraph of G, we consider the edges in G' and calculate the probability that each edge exists in G. Since the edges in G are determined independently with probability p, the probability that each edge in G' is present in G is simply p. As there are 2^(|E'|) possible subgraphs of G' and each has a probability of p^(|E'|) of occurring, the probability of G' being a subgraph of G is (p^|E'|).

Note that this analysis assumes that the graph G is a simple random graph, where each pair of vertices is adjacent with probability p independently. The specific value of p and the structure of G' determine the probability of G' being a subgraph of G.

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The quadratic equation exists \($x^{2}+3 x+2=0$\).

If a quadratic equation exists \($a x^{2}+b x+c=0$\), the utilizing the quadratic equation the solutions for x will be given by

\($x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$$\)

The solution for x exists

\($x=\frac{-3 \pm \sqrt{3^{2}-4(1)(2)}}{2(1)}\)

Comparing equations (1) and (2) we get, a = 1, b = 3 and c = 2.

Therefore, the quadratic equation exists \($x^{2}+3 x+2=0$\).

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Answer:

One guy said it was B. but I'm going with A.

Step-by-step explanation:

Ramiya is using the quadratic formula to solve a quadratic equation. her equation is x = startfraction negative 3 plus or minus startroot 3 squared minus 4(1)(2) endroot over 2(1) endfraction after substituting the values of a, b, and c into the formula. which is ramiya’s quadratic equation?

To implement the Boolean expression F(x,y,z) = xyz + (y′ + z) using a combinational circuit, we can use two AND gates and one OR gate.

To draw the combinational circuit that directly implements the Boolean expression F(x, y, z) = xyz + (y′ + z), follow these steps:
1. Identify the individual terms in the expression: xyz and (y′ + z).
2. Draw an AND gate for the term xyz:
  - Connect the input lines of the AND gate to x, y, and z.
3. Draw an OR gate for the term (y′ + z):
  - To obtain y′, connect an input line from y to a NOT gate.
  - Connect the output of the NOT gate and an input line from z to the input of the OR gate.
4. Combine the results from steps 2 and 3 with an OR gate:
  - Connect the outputs of the AND gate and the OR gate from steps 2 and 3 to the input lines of a final OR gate.
5. The output of the final OR gate is the function F(x, y, z).
In summary, the combinational circuit consists of 1 AND gate, 2 OR gates, and 1 NOT gate arranged as described above to directly implement the given Boolean expression.

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Answer:

I believe it is A I may be wrong

It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).

Since its getting dilated by 2 it will be getting bigger

The relationship between the number of friends and the level of loneliness indicates a negative correlation.

A correlation refers to the statistical relationship between two variables. In this case, the variables being studied are the number of friends and the level of loneliness. When Professor Williams finds that as the number of friends increase, the level of loneliness tends to decrease, it indicates a negative correlation.

A negative correlation means that as one variable increases, the other variable tends to decrease. In this scenario, as the number of friends increases, the level of loneliness decreases. This implies that there is an inverse relationship between the two variables. As individuals have more friends, they are less likely to experience feelings of loneliness.

It is important to note that correlation does not imply causation. While the study findings suggest a negative correlation between the number of friends and the level of loneliness, it does not establish a cause-and-effect relationship. Other factors or variables may also contribute to the level of loneliness, and further research would be needed to determine the underlying causes and mechanisms involved.

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Answer:

-6

Step-by-step explanation:

6 into -7 + 36

-42+36=-6

Answer:

Step-by-step explanation:

steps are stated below

step 1

6(-12+5)-3(-12)  equation

step 2

6(-12+5)-3(-12)  simplify the equation

(6)(-7)−(3)(-12)

-42-(3)(-12)

step 3

-42-(3)(-12)  times the number in the brackets

-42-(-36)

-6

Yes I can receive the radio signals.

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Based on the historical data provided by Glassboro Associates regarding the sales of electric cars, a forecast can be developed using the time-series analysis method, specifically, the moving average method.

The moving average method is a time-series analysis method that involves taking the average of the most recent n data values in a time series to forecast future values. This method assumes that future values are based on past behavior.

The formula for the moving average method is:

Forecast = (n1 + n2 + n3 + ... + nn) / n

Where n = the number of periods to be averaged, and n1, n2, n3, ... nn = the most recent n data values in the time series.

The historical data is shown in the table below:

Quarter Year 1 Year 2 Year 3 1 125 151 159 2 118 130 168 3 208 227 221 4 198 200 273

To develop a forecast, we will use the moving average method with n = 4. We will use the most recent four data values in each year to calculate the moving average forecast.

The forecast for each quarter of Year 1, Year 2, and Year 3 is shown in the table below:

Quarter Year 1 Year 2 Year 3 1 - - - 2 - - - 3 - - - 4 175.25 187.0 205.5

Therefore, the forecasted sales for Year 1, Year 2, and Year 3 are as follows:

Year 1 = 175.25 + 187.0 + 205.5 + 159 = 727.75

Year 2 = 187.0 + 205.5 + 159 + 168 = 719.5

Year 3 = 205.5 + 159 + 168 + 273 = 805.5

The forecast for Glassboro Associates' sales of electric cars over the next three years using the moving average method with n = 4 are 727.75, 719.5, and 805.5 for Year 1, Year 2, and Year 3, respectively.

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a) To get the maximum volume of the box, we should cut squares with side length of 5.66cm from each corner of the cardboard.

b) The area of each square is 31.96 square cm.

Let's denote the side length of the square that needs to be removed from each corner as "x"

The length of the cardboard box, after removing the squares from each corner, will be

L = 119cm - 2x

Similarly, the width of the cardboard box will be

W = 24cm - 2x

And the height of the cardboard box will be

H = x

To maximize the volume of the box, we need to find the value of "x" that maximizes the expression for the volume of the box, which is given by

V = LWH

Substituting the expressions for L, W, and H in terms of x, we get

V = (119cm - 2x)(24cm - 2x)(x)

Expanding this expression gives

V = 4x^3 - 286x^2 + 2856x

To find the value of "x" that maximizes this expression, we can take the derivative of V with respect to x and set it equal to zero

dV/dx = 12x^2 - 572x + 2856 = 0

Solving for x gives

x = (572 ± sqrt(572^2 - 4(12)(2856)))/(2(12))

x ≈ 5.66cm (ignoring the negative root)

Therefore, to get the maximum volume of the box, we should cut squares with side length of 5.66cm from each corner of the cardboard.

The area of each square is x^2 = 5.66^2 = 31.96 square cm.

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a) 1.. Transactions motive or Md

2. Speculative motive or Md

3. Precautionary motive or Md

b) Money × Velocity = Price × Transactions or, M × V = P × T.

c) Impact velocity support at the moment of impact.

a) The three motives of money demand according to Keynes are:

1.. Transactions motive or Md

2. Speculative motive or Md

3. Precautionary motive or Md

b) The more money they need for such transactions, the more money they hold. The relation between transactions and money is expressed in equation, called the quantity equation:

Money × Velocity = Price × Transactions or, M × V = P × T.

c) The velocity of money is a measurement of the rate at which money is exchanged in an economy. It is the number of times that money moves from one entity to another. Impact velocity is the velocity of the striker relative to the support at the moment of impact.

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Answer:

ill assume you're asking the answer for 1 hour

Step-by-step explanation:

multiply each side by 4. then, 12/4(3)=1

so 3 square feet and hour

The 90% confidence interval is  (5.09% , 5.41%)  and the 99% confidence interval is (52.24% , 52.76%)  .

In the question ,

it is given that ,

number of sample of loans taken = 28

the average of the sample is = 5.25%

the standard deviation of the normally distributed population is 0.5 %

The formula to find the Confidence Interval (CI) for the population mean is written as

\(\bar{x}\) ±\(t_{n-1} , _{\alpha /2} \frac{\sigma}{\sqrt{n} }\)

it is given that the 30 year fixed mortgage rates are normally distributed .

the sample size (n) = 28

Since sample size is less than 30 , the t - test is applied .

Sample mean ( \(\bar{x}\) ) = 0.0525

the standard deviation (σ) = 0.005

the significance level : α = 1 - 0.90 = 0.1

critical value = \(t_{n-1} , _{\alpha}\) = \(t_{27} , _{0.05}\) = 1.703

So , 90% confidence interval will be :

= 0.525 ± (1.703)×(0.005/√28)

≈ 0.0525 ± 0.0016

= (0.0525 - 0.0016 , 0.0525 + 0.0016)

= (0.0509 , 0.0541)

= (5.09% , 5.41%)

For the 99% confidence interval ,

the significance level : α = 1 - 0.99 = 0.01

critical value = \(t_{n-1} , _{\alpha}\) = \(t_{27} , _{0.005}\) = 0.2771

So , 99% confidence interval will be :

= 0.525 ± (0.2771)×(0.005/√28)

≈ 0.0525 ± 0.00026

= (0.0525 - 0.00026 , 0.0525 + 0.00026)

= (0.05224 , 0.05276)

≈ (52.24% , 52.76%)

Therefore , The 90% confidence interval is  (5.09% , 5.41%)  and the 99% confidence interval is (52.24% , 52.76%)  .

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Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

In a right angle triangle,

Hypotenuse^2 = opposite^2 + Adjacent^2

Let first leg and second leg of the triangle be opposite and adjacent respectively

Hypotenuse^2 = opposite^2 + Adjacent^2

= 15^2 + 18^2

= 225 + 324

= 549

Hypotenuse^2 = 549

Find the square root of both sides

√Hypotenuse^2 = 549

Hypotenuse = 23.43ft to the nearest of a hundredth

Length of the hypotenuse = 23.43ft

Answer:

35 4/9

Step-by-step explanation:

Picture is the work

Answer:

\(h(t)=-6(t-2)^2+24\)

Step-by-step explanation:

Given function:

\(h(t)=-6t^2+24t\)

where:

Rewrite in the form \(h(t)=a(t-h)^2+k\)

The quickest way to do this is to expand \(h(t)=a(t-h)^2+k\) and compare coefficients with the original function.

\(\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}\)

Comparing coefficients with \(h(t)=-6t^2+24t\)

\(\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}\)

\(\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}\)

\(\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}\)

Therefore, substituting the found values into the equation:

\(h(t)=-6(t-2)^2+24\)